Statistical Model of Superconductivity in a 2D Binary Boson-Fermion Mixture
Abstract
A two-dimensional (2D) assembly of noninteracting, temperature-dependent, composite-boson Cooper pairs (CPs) in chemical and thermal equilibrium with unpaired fermions is examined in a binary boson-fermion statistical model as the superconducting singularity temperature is approached from above. The model is derived from {\it first principles} for the BCS model interfermion interaction from three extrema of the system Helmholtz free energy (subject to constant pairable-fermion number) with respect to: a) the pairable-fermion distribution function; b) the number of excited (bosonic) CPs, i.e., with nonzero total momenta--usually ignored in BCS theory--and with the appropriate (linear, as opposed to quadratic) dispersion relation that arises from the Fermi sea; and c) the number of CPs with zero total momenta. Compared with the BCS theory condensate, higher singularity temperatures for the Bose-Einstein condensate are obtained in the binary boson-fermion mixture model which are in rough agreement with empirical critical temperatures for quasi-2D superconductors.
Cite
@article{arxiv.cond-mat/0102243,
title = {Statistical Model of Superconductivity in a 2D Binary Boson-Fermion Mixture},
author = {M. Casas and N. J. Davidson and M. de Llano and T. A. Mamedov and A. Puente and R. M. Quick and A. Rigo and M. A. Solís},
journal= {arXiv preprint arXiv:cond-mat/0102243},
year = {2016}
}
Comments
16 pages, 4 PS figures which you can see with gsview, ms in LaTex. Accepted in Physica A